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Finding the Third Proportional to 156,964 and 335,473

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Solution

The third proportional to 156,964 and 335,473 is: 716,993.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,964 : 335,473 = 335,473 : x
  2. Step 2: Convert to fraction form
    156,964/335,473 = 335,473/x
  3. Step 3: Cross multiply
    156,964x = 335,473 × 335,473
  4. Step 4: Simplify right side
    156,964x = 112,542,133,729
  5. Step 5: Solve for x
    x = 112,542,133,729/156,964
  6. Step 6: Final answer
    x = 716,993.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.